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Finding the Fourth Proportional to 1,674.62, 2,511.33 and 634.09

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Solution

The fourth proportional to 1,674.62, 2,511.33 and 634.09 is: 950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.62 : 2,511.33 = 634.09 : x
  2. Step 2: Convert to fraction form
    1,674.62/2,511.33 = 634.09/x
  3. Step 3: Cross multiply
    1,674.62x = 2,511.33 × 634.09
  4. Step 4: Simplify right side
    1,674.62x = 1,592,410.61
  5. Step 5: Solve for x
    x = 1,592,410.61/1,674.62
  6. Step 6: Final answer
    x = 950.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.